The area of the region bounded by the parabola \(y^2=8 x\) and its latus rectum in the first quadrant, is

The value of the determinant \(\begin{vmatrix} 3 & -4 & 5 \\ 1 & 1 & -2 \\ 2 & 3 & 1 \end{vmatrix}\) is:

At \(6 \%\) converted quarterly, the present value of a perpetuity of ₹ 900 payable at the end of each quarter is :

If \(x y=e^{(x-y)}\), then \(\frac{d y}{d x}\) is equal to:

If a computer code is correctly programmed, it gives \(90\%\) acceptable results. But if it is not correctly programmed, it gives only \(40\%\) acceptable results. From previous experience, it is observed that only \(80 \%\) of codes are correctly programmed. If after a certain programming, the code gives 2 acceptable results then the approximate probability that the code is correctly programmed is

If \(A\) is a square matrix of order 3 and \(\operatorname{det}(A)=1\). If \(B=2 A\) is another matrix, the value of \(\operatorname{det}(B)\) is:

If \(x, y, z\) are all distinct and \(\left|\begin{array}{lll}x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3\end{array}\right|=0\), then the value of \(x y z\) is :

Arrange the following compounds in the increasing order of their acidic strength :
(A) 3,5-dinitrophenol
(B) Propan-1-ol
(C) 2,4,6-trinitrophenol
(D) 3-nitrophenol
(E) 4-methyl phenol
Choose the correct answer from the options given below :

Two waves of amplitudes 3 m and 2 m, respectively superimpose at a point in the same phase. The resultant amplitude would be

Read the passage carefully and answer the questions
Carbohydrates such as cane sugar, glucose, starch etc. belong to a class of naturally occurring organic compounds. Structurally these are polyhydroxy aldehydes or ketones or the compounds which produce such units on hydrolysis. Carbohydrates which are sweet in taste are called sugars. Theses sugars can be reducing or non-reducing. Monosaccharides cannot be hydrolyzed to simpler units whereas Oligosaccharides yield two to ten monosaccharide units on hydrolysis. Polysaccharides yield large number of monosaccharide units on hydrolysis. This class of biomolecules is essential for living systems as they serve as storage molecules in plants and animals. In addition, they provide raw materials for important industries like furniture, textiles, paper, lacquers and breweries. Two aldopentose form important constituents of nucleic acids. Carbohydrates are also called saccharides (Greek: sakcharon which means sugar). Sugar which is used in household and in milk also comes under this class of biomolecules.
Which sugar is known as milk sugar?

After industrialisation in England, the reversed proportion of dark winged moth with white winged moth is an example of __________

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles, paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis.
Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Animal starch is popularly known as

Which of the following is the correct equation for the law of radioactive decay?
(Symbols have their usual meaning.)